180
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Nonlinear approximation by sums of nonincreasing exponentials

&
Pages 609-626 | Received 16 Sep 2009, Accepted 29 Nov 2009, Published online: 04 Sep 2010

References

  • D. Potts and M. Tasche, Parameter estimation for exponential sums by approximate Prony method, Signal Process, 90 (2010), pp. 1631–1642.
  • Beylkin , G and Monzón , L . 2005 . On approximations of functions by exponential sums . Appl. Comput. Harmon. Anal. , 19 : 17 – 48 .
  • Marple , SL . 1987 . Digital Spectral Analysis with Applications , Englewood Cliffs : Prentice Hall .
  • Golub , GH , Milanfar , P and Varah , J . 1999 . A stable numerical method for inverting shape from moments . SIAM J. Sci. Comput. , 21 : 1222 – 1243 .
  • Dragotti , PL , Vetterli , M and Blu , T . 2007 . Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets Strang-Fix . IEEE Trans. Signal Process , 55 : 1741 – 1757 .
  • Horn , RA and Johnson , CR . 1985 . Matrix Analysis , Cambridge : Cambridge University Press .
  • Potts , D , Steidl , G and Tasche , M . 2001 . “ Fast Fourier transforms for nonequispaced data: A tutorial ” . In Modern Sampling Theory: Mathematics and Applications , Edited by: Benedetto , JJ and Ferreira , PJSG . 247 – 270 . Boston : Birkhäuser .
  • Bazán , FSV . 1999 . Conditioning of rectangular Vandermonde matrices with nodes in the unit disk . SIAM J. Matrix Anal. Appl. , 21 : 679 – 693 .
  • Roy , R and Kailath , T . 1989 . ESPRIT – Estimation of signal parameters via rotational invariance techniques . IEEE Trans. Acoust. Speech Signal Process , 37 : 984 – 994 .
  • Roy , R and Kailath , T . 1990 . “ ESPRIT – Estimation of signal parameters via rotational invariance techniques ” . In Signal Processing, Part II: Control Theory and Applications , Edited by: Auslander , L , Grünbaum , FA , Helton , JW , Kailath , T , Khargoneka , P and Mitter , S . 369 – 411 . New York : Springer .
  • Manolakis , DG , Ingle , VK and Kogon , SM . 2005 . Statistical and Adaptive Signal Processing , Boston : McGraw-Hill .
  • Papy , JM , De Lathauwer , L and Van Huffel , S . 2004 . Exponential data fitting using multilinear algebra: the decimative case . J. Chemometrics , 23 : 341 – 351 .
  • Higham , NJ . 1996 . Accuracy and Stability of Numerical Algorithms , Philadelphia : SIAM .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.